Primecoin? That coin hasn't seen a new release in three years:
https://github.com/primecoin/primecoin
Ranked 74th according to Coingecko developer score:
https://www.coingecko.com/en?page=2&sort_by=developer_score
It's an interesting coin, but apparently little more than a curiosity nowadays.
Also, why would you like to have a coin mined with SHA-256, and 'supported' by cancer-curing research? Is it not better to have a coin mined by cancer-curing research itself, and ditch the SHA-256 altogether? The last thing we need is more SHA-256 coins.
I'm not talking about the technology, I mean the short-term investment for taking advantage. We just have to ditch Bitcoin! Is that what you're proposing?
No, I am proposing to ditch SHA-256 in research coins. There's plenty of computing work to be done for science, no need to waste precious computing power on repetitive hashing algorithms.
Regarding your investment advice, I think investing in coins which aren't developed any more isn't a very good idea. But I guess my investing strategy is more cautious than yours.
Idd, zero need for POW when rewarding research projects.